Search a number
-
+
542364313401 = 36191091492411
BaseRepresentation
bin1111110010001110110…
…11101010011100111001
31220211221022010211000000
413321013123222130321
532341230231012101
61053054141303213
754120202412211
oct7710733523471
91824838124000
10542364313401
1119a019574159
1289144864b09
133c1b5ca2841
141c371801241
15e194e92486
hex7e476ea739

542364313401 has 112 divisors (see below), whose sum is σ = 869984280000. Its totient is φ = 336985557120.

The previous prime is 542364313373. The next prime is 542364313427. The reversal of 542364313401 is 104313463245.

542364313401 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 643 + 1 + 3 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 542364313401 - 27 = 542364313273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542364313441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 224952886 + ... + 224955296.

Almost surely, 2542364313401 is an apocalyptic number.

It is an amenable number.

542364313401 is a deficient number, since it is larger than the sum of its proper divisors (327619966599).

542364313401 is a wasteful number, since it uses less digits than its factorization.

542364313401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 542364313401 its reverse (104313463245), we get a palindrome (646677776646).

The spelling of 542364313401 in words is "five hundred forty-two billion, three hundred sixty-four million, three hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 19 27 57 81 109 149 171 243 327 447 513 729 981 1341 1539 2071 2411 2831 2943 4023 4617 6213 7233 8493 8829 12069 13851 16241 18639 21699 25479 26487 36207 45809 48723 55917 65097 76437 79461 108621 137427 146169 167751 195291 229311 262799 308579 359239 412281 438507 503253 585873 687933 788397 925737 1077717 1236843 1315521 1509759 1757619 2063799 2365191 2777211 3233151 3710529 3946563 4993181 6825541 7095573 8331633 9699453 11131587 11839689 14979543 20476623 21286719 24994899 29098359 33394761 39157051 44938629 61429869 63860157 74984697 87295077 117471153 134815887 184289607 191580471 224954091 261885231 352413459 404447661 552868821 743983969 1057240377 1213342983 1658606463 2231951907 3171721131 3640028949 4975819389 6695855721 9515163393 20087567163 28545490179 60262701489 180788104467 542364313401